A General Note: Horizontal Stretches and Compressions Given a function f(x)f(x), a new function g(x)=f(bx)g(x)=f(bx), where bb is a constant, is a horizontal stretch or horizontal compression of the function f(x)f(x). If b>1b>1, then the graph will be compressed by...
Function Transformations: Horizontal And Vertical Stretch And Compression This video explains to graph graph horizontal and vertical stretches and compressions in the form af(b(x-c))+d. It looks at how a and b affect the graph of f(x). ...
Question: Graph f(x)=4+2x by plotting two points. Use transformations to find the the line from f(x)=x.Part a: Determine the transformations needed to get f(x)=4+2x from f(x)=x.Stretch or compression transformation: Verticallyf...
Similar to solving functions and equations, there is an order in which we apply function transformations.Do the horizontal shift, within the parentheses. Do the stretch/compression, which is the constant multiplied by the parentheses. Do the reflection across the x- or y-axis. Lastly, do the...
In order to determine the transformations from two graphs, we have to know the basic transformations such as translation, reflection, compression, and stretch. These are the transformations that can be done to s function.Answer and Explanation: ...
Place the function in your Y= screen Make sure the mode is set to radians Use the ZoomTrig option Sound Waves To model making the sound LOUDER we increase the maximum and minimum values (above and below the x-axis) We increase the amplitude of the function We seek to stretch the ...
Combining Transformations a = vertical stretch/compression |a| 1 causes stretch -1 a 1 causes compression of the graph a 0 will flip the graph about the x-axis b = horizontal stretch/compression b 1 causes compression |b| 1 causes stretching Combining Transformations c = horizontal shift of ...
Step 1:Ensure the square root equation is in standard form and rearrange if necessary. Standard form isf(x)=ax−h+k. Step 2:Make note of the transformations in the general form of the equation. A change inaresults in a stretch or compression of the square root graph. If0<a<1then ...
(x)compresses thefunctionvertically Compression •Thegraphoff(x)=(x-2)(x+3)(x-7)with astandardzoomgraphsasshowntothe right. Enterthefunctioninfory1=(x-2)(x+3)(x-7) inyourY=screen. •Graphittoverifyyouhavetheright function. Compression •Whatcanwedo(withoutchangingthezoom) toforcethe...
in the function f(x)=a(x−h)2+k.f(x)=a(x−h)2+k. Substitute the values of any point, other than the vertex, on the graph of the parabola for x and f(x).f(x). Solve for the stretch factor, |a|. Expand and simplify to write in gene...